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Stationary mutant distributions and evolutionary optimization
Bulletin of Mathematical Biology, 1988The Eigen-Schuster kinetic theory of polynucleotide evolution is modified for the case that mutations are no more rare events. It is found that the fitness is then no longer the property of single types but depends critically on the efficiency of their nearest neighbours.
Schuster, Peter, Swetina, Jörg
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Moments for stationary and quasi-stationary distributions of markov chains
Journal of Applied Probability, 1985A necessary and sufficient set of conditions is given for the finiteness of a general moment of the R -invariant measure of an R -recurrent substochastic matrix. The conditions are conceptually related to Foster's theorem. The result extends that of [8], and is illustratively applied to the single and multitype subcritical Galton–Watson process to find
Seneta, E., Tweedie, R. L.
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Stationary distribution of population size inTribolium
Bulletin of Mathematical Biology, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peters, Craig Steven +2 more
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Stationary Distributions in Inventory Control Models
Cybernetics and Systems Analysis, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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AUTOREGRESSIVE PROCESSES WITH NORMAL STATIONARY DISTRIBUTIONS
Journal of Time Series Analysis, 1989Abstract. For the strictly stationary AR(k) process Zt=Λ(Zt‐1) +αt, with Λ:Rk→R, Zt‐1= [Zt‐1, Zt‐2,…,Zt‐k] and {αt} an independent identically distributed white noise process, we partially characterize the Λ for which the stationary distribution of Zt is normal.
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Stationary distribution for repairable systems
Applied Stochastic Models in Business and Industry, 2000This paper is a development of the previous results by \textit{V. S. Korolyuk} [see, for instance, ``Maintenance problem for repairable Markov systems'', in: Statistical and probabilistic models in reliability, ed. by C. Ionescu and N. Limnios (Boston, 1999)]. The Markov repairable system with limited service and spare devices is considered.
Chetouani, H., Korolyuk, V. S.
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On the Stationary Distribution
2017For the continuous time Markov processes we are concentrating on now, there is a unique stationary distribution \(\rho \) which is reached exponentially fast in time and uniformly so over all initial conditions.
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Learning non-stationary conditional probability distributions
Neural Networks, 2000While sophisticated neural networks and graphical models have been developed for predicting conditional probabilities in a non-stationary environment, major improvements in the training schemes are still required to make these approaches practically viable.
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Stationary distributions: Frequency spectra
1990We can now determine long-term probability distributions of allele frequencies. Of course, when both boundaries are exits, ultimate absorption is certain and our problem reduces to finding the probability of ultimate loss and of ultimate fixation, which we discussed in detail earlier.
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